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Finding the Fourth Proportional to 1,168.29, 1,752.57 and 302.67

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Solution

The fourth proportional to 1,168.29, 1,752.57 and 302.67 is: 454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.29 : 1,752.57 = 302.67 : x
  2. Step 2: Convert to fraction form
    1,168.29/1,752.57 = 302.67/x
  3. Step 3: Cross multiply
    1,168.29x = 1,752.57 × 302.67
  4. Step 4: Simplify right side
    1,168.29x = 530,450.36
  5. Step 5: Solve for x
    x = 530,450.36/1,168.29
  6. Step 6: Final answer
    x = 454.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.